%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT017-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:02:04 PM UTC 2026
% Result : Unsatisfiable 19.10s 7.88s
% Output : CNFRefutation 19.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : join(complement(X),X) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : complement(complement(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : meet(X,Y) = complement(join(complement(X),complement(Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : join(complement(X0),X0) = n1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0] : complement(complement(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f37,plain,
! [X0] : join(X0,complement(X0)) = n1,
inference(backward_demodulation,[status(thm)],[f16,f12]) ).
fof(f38,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
inference(forward_demodulation,[status(thm)],[f15,f22]) ).
fof(f39,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),meet(complement(a),join(meet(b,complement(a)),meet(complement(a),complement(b)))))) != n1,
inference(forward_demodulation,[status(thm)],[f15,f38]) ).
fof(f49,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f97,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f99,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f102,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f21,f19]) ).
fof(f214,plain,
! [X0,X1,X2] : meet(complement(X0),join(X1,complement(X2))) = complement(join(X0,meet(complement(X1),X2))),
inference(paramodulation,[status(thm)],[f97,f97]) ).
fof(f216,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f97]) ).
fof(f218,plain,
! [X0,X1] : join(join(X0,complement(X1)),meet(complement(X0),X1)) = n1,
inference(paramodulation,[status(thm)],[f97,f37]) ).
fof(f219,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f97,f19]) ).
fof(f228,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),meet(complement(a),join(meet(b,complement(a)),complement(join(a,b)))))) != n1,
inference(backward_demodulation,[status(thm)],[f216,f39]) ).
fof(f231,plain,
! [X0,X1] : join(X0,join(complement(X1),meet(complement(X0),X1))) = n1,
inference(forward_demodulation,[status(thm)],[f18,f218]) ).
fof(f232,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),complement(join(a,meet(complement(meet(b,complement(a))),join(a,b)))))) != n1,
inference(forward_demodulation,[status(thm)],[f214,f228]) ).
fof(f233,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),complement(join(a,meet(join(a,b),complement(meet(b,complement(a)))))))) != n1,
inference(forward_demodulation,[status(thm)],[f15,f232]) ).
fof(f454,plain,
! [X0,X1] : meet(X0,complement(meet(complement(X0),X1))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f14,f99]) ).
fof(f466,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f99,f19]) ).
fof(f479,plain,
! [X0,X1] : meet(X0,join(X0,complement(X1))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f219,f454]) ).
fof(f480,plain,
! [X0,X1] : meet(X0,join(X0,complement(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f19,f479]) ).
fof(f491,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),complement(join(a,meet(join(a,b),join(complement(b),a)))))) != n1,
inference(backward_demodulation,[status(thm)],[f466,f233]) ).
fof(f493,plain,
join(a,join(complement(join(a,meet(join(a,b),join(complement(b),a)))),meet(complement(a),meet(join(a,b),join(a,complement(b)))))) != n1,
inference(forward_demodulation,[status(thm)],[f16,f491]) ).
fof(f494,plain,
join(a,join(complement(join(a,meet(join(a,b),join(a,complement(b))))),meet(complement(a),meet(join(a,b),join(a,complement(b)))))) != n1,
inference(forward_demodulation,[status(thm)],[f16,f493]) ).
fof(f507,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f19,f480]) ).
fof(f548,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f507,f17]) ).
fof(f605,plain,
! [X0,X1,X2] : complement(meet(X0,join(X1,complement(X2)))) = join(complement(X0),meet(complement(X1),X2)),
inference(paramodulation,[status(thm)],[f97,f102]) ).
fof(f624,plain,
join(a,complement(meet(join(a,meet(join(a,b),join(a,complement(b)))),join(a,complement(meet(join(a,b),join(a,complement(b)))))))) != n1,
inference(backward_demodulation,[status(thm)],[f605,f494]) ).
fof(f625,plain,
! [X0,X1] : join(X0,complement(meet(X1,join(X0,complement(X1))))) = n1,
inference(backward_demodulation,[status(thm)],[f605,f231]) ).
fof(f1813,plain,
! [X0,X1,X2] : join(meet(join(X0,X1),X2),meet(X0,X2)) = meet(join(X0,X1),X2),
inference(paramodulation,[status(thm)],[f548,f49]) ).
fof(f1873,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(join(X0,X2),X1)) = meet(join(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f16,f1813]) ).
fof(f12864,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,X1),join(X0,X2))) = meet(join(X0,X1),join(X0,X2)),
inference(paramodulation,[status(thm)],[f507,f1873]) ).
fof(f13065,plain,
join(a,complement(meet(meet(join(a,b),join(a,complement(b))),join(a,complement(meet(join(a,b),join(a,complement(b)))))))) != n1,
inference(backward_demodulation,[status(thm)],[f12864,f624]) ).
fof(f13320,plain,
n1 != n1,
inference(forward_demodulation,[status(thm)],[f625,f13065]) ).
fof(f13321,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f13320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT017-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n019.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sun Sep 20 23:06:57 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 19.10/7.88 % Refutation found
% 19.10/7.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.10/7.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.46/7.93 % Elapsed time: 2.545911 seconds
% 6.46/7.93 % CPU time: 20.056783 seconds
% 6.46/7.93 % Total memory used: 168.761 MB
% 6.46/7.93 % Net memory used: 163.501 MB
%------------------------------------------------------------------------------